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Finding the Third Proportional to 932,358 and 1,402,006.50

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Solution

The third proportional to 932,358 and 1,402,006.50 is: 2,108,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,358 : 1,402,006.50 = 1,402,006.50 : x
  2. Step 2: Convert to fraction form
    932,358/1,402,006.50 = 1,402,006.50/x
  3. Step 3: Cross multiply
    932,358x = 1,402,006.50 × 1,402,006.50
  4. Step 4: Simplify right side
    932,358x = 1,965,622,226,042.25
  5. Step 5: Solve for x
    x = 1,965,622,226,042.25/932,358
  6. Step 6: Final answer
    x = 2,108,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.